The volume \( V \) of a pyramid is given by the formula:
\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
For a rectangular base, the base area can be found by multiplying the length and width:
\[ \text{Base Area} = \text{Length} \times \text{Width} = 10 , \text{cm} \times 18 , \text{cm} = 180 , \text{cm}^2 \]
Now, using the height of the pyramid (12 cm) in the volume formula:
\[ V = \frac{1}{3} \times 180 , \text{cm}^2 \times 12 , \text{cm} \] \[ V = \frac{1}{3} \times 2160 , \text{cm}^3 = 720 , \text{cm}^3 \]
Thus, the volume of the pyramid is 720 cm³.